Least Common Multiple of 425/87, 209/90, 535/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 425/87, 209/90, 535/131 quickly i.e. 9504275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 425/87, 209/90, 535/131 is 9504275.

LCM(425/87, 209/90, 535/131) = 9504275

LCM of 425/87, 209/90, 535/131

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 425/87,209/90,535/131

Given numbers are 425/87,209/90,535/131

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 425,209,535

Least Common Multiple of Numerators i.e. LCM of 425,209,535 is 9504275.

GCF of Denominators means GCF of 87,90,131 as per the given fractions.

GCF of 87,90,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 425,209,535

LCM of Fractions 425/87,209/90,535/131 is 9504275

5 425, 209, 535
85, 209, 107

∴ So the LCM of the given numbers is 5 x 85 x 209 x 107 = 9504275

Least Common Multiple of 425,209,535 with GCF Formula

Least Common Multiple of 425,209,535 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 425,209,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,209,535) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(425,209,535) x common factors =1 x 5 = 5

LCM(425,209,535) = ( 425 × 209 × 535 ) / 5

LCM(425,209,535) = 47521375 / 5

LCM(425,209,535) = 9504275


Lets's calculate GCF of 87,90,131

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9504275/1

Therefore the LCM of Fractions 425/87,209/90,535/131 is 9504275

Greatest Common Factor of 87,90,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,90,131 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 87,90,131 . The biggest common factor number is the GCF number.
So the greatest common factor 87,90,131 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 425/87, 209/90, 535/131

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 425/87, 209/90, 535/131?

Answer: LCM of Numerators as per given numbers 425/87, 209/90, 535/131 is

LCM of Numerators i.e. for 425,209,535 is 9504275

GCF of denominators i.e. for 87,90,131 is 1.

Thus, LCM of Fractions is 9504275.Finally, LCM of Fractions for 425/87, 209/90, 535/131 is 9504275.